Topological mirror symmetry for parabolic Higgs bundles

We prove the topological mirror symmetry conjecture of Hausel-Thaddeus (Hausel and Thaddeus, 2001, 2003) for the moduli space of strongly parabolic Higgs bundles of rank two and three, with full flags, for any generic weights. Although the main theorem is proved only for rank at most three, most of...

Full description

Bibliographic Details
Main Author: André Oliveira (author)
Other Authors: Gothen, PB (author)
Format: article
Language:eng
Published: 2019
Subjects:
Online Access:https://hdl.handle.net/10216/117182
Country:Portugal
Oai:oai:repositorio-aberto.up.pt:10216/117182
Description
Summary:We prove the topological mirror symmetry conjecture of Hausel-Thaddeus (Hausel and Thaddeus, 2001, 2003) for the moduli space of strongly parabolic Higgs bundles of rank two and three, with full flags, for any generic weights. Although the main theorem is proved only for rank at most three, most of the results are proved for any prime rank.